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Find the equation of the tangent to the curve y = (5x+4)/(3x-8) at the point (2, -7).

Firstly, we need to find the gradient at this point on the curve as the tangent will have the same gradient. So to find the gradient of the curve or in other words, dy/dx, we differentiate the equation. T...

MS
Answered by Manika S. Maths tutor
3847 Views

A ball is fired from a cannon at 20m/s at an angle of 56degrees to the horizontal. Calculate the horizontal distance the ball travels as well as its maximum height reached.

This is a typical mechanics question in an AS/A-level exam and uses the principles of SUVAT and projection.

  • We can try to calculate the maximum height reached first using the veritical compon...
AF
Answered by Aaron F. Maths tutor
5824 Views

How do you deal with 3 simultaneous equations? (Struggling with Q7 of AQA specimen paper 1)

If you need to solve them, then you just plug your way through the algebra to get to the answer.

In this question (Q7) you need to find the value of a constant such that there is no solution to the...

JW
3385 Views

what would be the mass required to keep an object with a mass of 250kg orbiting at a constant distance of 100km with a linear velocity of 100m/s?

the linear speed of an orbiting body is given by the equation sqrt(GM/2r) where M is the mass of the attracting body, G is the gravitational constant and r is the distance between the two bodies' centres ...

MA
Answered by Michael A. Physics tutor
2168 Views

What is the Young's modulus of a material?

The Young's modulus is a measure of the stiffness of the material - higher the young's modulus, higher the stiffness. It is calculated by dividing stress by strain over the elastic deformation region and ...

MS
Answered by Manika S. Physics tutor
2283 Views

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